{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Histogram Equalization of Black and White Image:\n",
    "Histogram Equalization of a Black and White Image is fairly straight forward, and can be done using the hist_equalized function of OpenCV. The image after Histogram Equalization has Cumulative Distribution Function(CDF) as a **straight line**. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Importing the libraries\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import cv2\n",
    "import matplotlib.image as mpimg"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Reading the original image, here 0 implies that image is read as grayscale\n",
    "image = cv2.imread('lc.jpeg', 0)\n",
    "\n",
    "# Generating the histogram of the original image\n",
    "hist,bins = np.histogram(image.flatten(),256,[0,256])\n",
    "\n",
    "# Generating the cumulative distribution function of the original image\n",
    "cdf = hist.cumsum()\n",
    "cdf_normalized = cdf * hist.max()/ cdf.max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Applying Histogram Equalization on the original image\n",
    "image_equalized = cv2.equalizeHist(image)\n",
    "\n",
    "# Generating the histogram of the equalized image\n",
    "hist_equalized,bins_equalized = np.histogram(image_equalized.flatten(),256,[0,256])\n",
    "\n",
    "# Generating the cumulative distribution function of the original image\n",
    "cdf_equalized = hist_equalized.cumsum()\n",
    "cdf_equalized_normalized = cdf_equalized * hist_equalized.max()/ cdf_equalized.max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Plotting the Original and Histogram Equalized Image, Histogram and CDF\n",
    "fig, axs = plt.subplots(2, 2)\n",
    "\n",
    "axs[0, 0].imshow(cv2.cvtColor(image, cv2.COLOR_BGR2RGB))\n",
    "axs[0, 0].axis('off')\n",
    "axs[0, 0].set_title('Original Image')\n",
    "\n",
    "axs[0, 1].imshow(cv2.cvtColor(image_equalized, cv2.COLOR_BGR2RGB))\n",
    "axs[0, 0].axis('off')\n",
    "axs[0, 1].set_title('Histogram Equalized Image')\n",
    "\n",
    "\n",
    "axs[1, 0].plot(cdf_normalized, color = 'b')\n",
    "axs[1, 0].hist(image.flatten(),256,[0,256], color = 'r')\n",
    "axs[1, 0].legend(('cdf','histogram'), loc = 'upper left')\n",
    "\n",
    "\n",
    "\n",
    "axs[1, 1].plot(cdf_equalized_normalized, color = 'b')\n",
    "axs[1, 1].hist(image_equalized.flatten(),256,[0,256], color = 'r')\n",
    "axs[1, 1].legend(('cdf_equalized','histogram_equalized'), loc = 'upper left')\n",
    "\n",
    "\n",
    "# Hide x labels and tick labels for top plots and y ticks for right plots.\n",
    "for ax in axs.flat:\n",
    "    ax.label_outer()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Histogram Equalization of Color Images\n",
    "Histogram Equalization of color images is a little complicated. OpenCV loads color images in BGR color space. With this color space, it is not possible to equalize the histogram without affecting to the color information because all 3 channels contain color information. Therefore you have to convert the BGR image to a color space like YCrCb. <br>\n",
    "In YCrCb color space, the **Y channel** of the image only contains intensity information where as Cr and Cb channels contain all the color information of the image. Therefore only the Y channel should be processed to get a histogram equalized image without changing any color information."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Reading the original image, here 1 implies that image is read as color\n",
    "image_c = cv2.imread('lc.jpeg', 1)\n",
    "\n",
    "# Generating the histogram of the original image\n",
    "hist_c,bins_c = np.histogram(image_c.flatten(),256,[0,256])\n",
    "\n",
    "# Generating the cumulative distribution function of the original image\n",
    "cdf_c = hist_c.cumsum()\n",
    "cdf_c_normalized = cdf_c * hist_c.max()/ cdf_c.max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Converting the image to YCrCb\n",
    "image_yuv = cv2.cvtColor(image_c, cv2.COLOR_BGR2YUV)\n",
    "\n",
    "# Applying Histogram Equalization on the original imageof the Y channel\n",
    "image_yuv[:,:,0] = cv2.equalizeHist(image_yuv[:,:,0])\n",
    "\n",
    "# Convert the YUV image back to RGB format\n",
    "image_c_equalized = cv2.cvtColor(image_yuv, cv2.COLOR_YUV2BGR)\n",
    "\n",
    "# Generating the histogram of the equalized image\n",
    "hist_c_equalized, bins_c_equalized = np.histogram(image_c_equalized.flatten(),256,[0,256])\n",
    "\n",
    "# Generating the cumulative distribution function of the original image\n",
    "cdf_c_equalized = hist_c_equalized.cumsum()\n",
    "cdf_c_equalized_normalized = cdf_c_equalized * hist_c_equalized.max()/ cdf_c_equalized.max()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Plotting the Original and Histogram Equalized Image, Histogram and CDF\n",
    "fig, axs = plt.subplots(2, 2)\n",
    "\n",
    "axs[0, 0].imshow(cv2.cvtColor(image_c, cv2.COLOR_BGR2RGB))\n",
    "axs[0, 0].axis('off')\n",
    "axs[0, 0].set_title('Original Image')\n",
    "\n",
    "axs[0, 1].imshow(cv2.cvtColor(image_c_equalized, cv2.COLOR_BGR2RGB))\n",
    "axs[0, 0].axis('off')\n",
    "axs[0, 1].set_title('Histogram Equalized Image')\n",
    "\n",
    "\n",
    "axs[1, 0].plot(cdf_c_normalized, color = 'b')\n",
    "axs[1, 0].hist(image_c.flatten(),256,[0,256], color = 'r')\n",
    "axs[1, 0].legend(('cdf','histogram'), loc = 'upper left')\n",
    "\n",
    "\n",
    "\n",
    "axs[1, 1].plot(cdf_c_equalized_normalized, color = 'b')\n",
    "axs[1, 1].hist(image_c_equalized.flatten(),256,[0,256], color = 'r')\n",
    "axs[1, 1].legend(('cdf_equalized','histogram_equalized'), loc = 'upper left')\n",
    "\n",
    "\n",
    "# Hide x labels and tick labels for top plots and y ticks for right plots.\n",
    "for ax in axs.flat:\n",
    "    ax.label_outer()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
